The generator matrix

 1  0  0  1  1  1 10  4  1  1  1  6  1  1 12  2  6  1  1 10  1  4  1  1 14  6  1  1  1  4  8  1  2  1  1  1  1  0  1 12  8  1  1  1  8  1  1  0  2  1  1  0  6  1  1  1  1  2 10  1  1  1 10  0  2  1  1  6  1  1
 0  1  0  4  5  1  1  1 10  7  6  1 11  9  6  1  1  3 12  6 14  1  3  9  1  0  4  2  7  4  1 12  1 12  2 10 13  6 10  1  1  7  7  3  1  6 13  1  1  8  1 14 14  3  1  4  1  4  1  9  4  3  4  1  1  5  0  1  9  0
 0  0  1  7  3  4  3  1 13  2  0  8 12  9  1 13  6  1  6  1 11 10 15  6  1  1 11  2 15  1  2  5  7 10  1 11 14  1 14 11  8 12  6  9  4  8  9  9 10 10  8  1  1 10 10  5 10  1  5  4 12  2  1  6 12  7 13  6  4  0
 0  0  0  8  0  0  0  0  8  0  8  8  8  8  8  8  0  8  0  8  8  8  0  8  8  0  8  8  0  8  0  0  0  8  0  0  8  8  8  0  0  0  0  0  0  0  8  8  8  8  8  0  8  0  0  0  0  0  8  8  8  8  0  8  0  8  8  0  0  0
 0  0  0  0  8  0  8  0  8  8  8  8  8  8  0  8  8  0  8  8  0  8  8  0  0  8  8  8  0  0  0  0  0  0  8  0  8  8  0  8  8  8  8  0  8  8  0  0  0  8  8  8  0  0  8  8  0  0  8  0  0  0  8  0  8  0  0  0  0  0
 0  0  0  0  0  8  0  0  0  8  0  0  8  0  0  0  0  0  8  8  8  8  8  0  8  8  8  8  8  8  8  8  8  8  0  0  0  0  0  8  8  8  0  0  0  0  8  0  8  8  8  0  0  8  8  8  0  8  8  0  8  8  0  8  8  0  8  0  0  0

generates a code of length 70 over Z16 who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+102x^63+574x^64+1136x^65+2297x^66+2800x^67+3712x^68+3942x^69+4478x^70+3522x^71+3754x^72+2504x^73+1796x^74+1004x^75+579x^76+270x^77+138x^78+52x^79+50x^80+20x^81+27x^82+8x^83+1x^84+1x^88

The gray image is a code over GF(2) with n=560, k=15 and d=252.
This code was found by Heurico 1.16 in 11.2 seconds.